contestada

You have a home loan of $150,000. The interest rate is 5.5% and the loan is for 30 years, with monthly payments. If you make a ONE TIME extra principle payment of $22,000 in period number 18, how much do you SAVE in total interest paid of the life of the loan? (A) $22,000 (B) $48,814 (C) $35,712 (D) $61,492

Respuesta :

Answer:

21,615.26 interest saved.

Explanation:

The interest saved will be the interest that the extra payment could have generated in the remainder of the loan:

[tex]PV \div \frac{1-(1+r)^{-time} }{rate} = C\\[/tex]

PV  $22,000.00

time 342 (360 payment - 18 months)

rate 0.004583333 (5.5% / 12 )

[tex]22000 \div \frac{1-(1+0.00458333333333333)^{-342} }{0.00458333333333333} = C\\[/tex]

C  $ 127.526

To know the interest we multiply the cuota by the loan life and then, subtract the principal:

127.53 x 342 - 22,000 = 21615.26